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Finding the Fourth Proportional to 277.67, 416.51 and 72.23

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Solution

The fourth proportional to 277.67, 416.51 and 72.23 is: 108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.67 : 416.51 = 72.23 : x
  2. Step 2: Convert to fraction form
    277.67/416.51 = 72.23/x
  3. Step 3: Cross multiply
    277.67x = 416.51 × 72.23
  4. Step 4: Simplify right side
    277.67x = 30,085.74
  5. Step 5: Solve for x
    x = 30,085.74/277.67
  6. Step 6: Final answer
    x = 108.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.